Finding the Fourth Proportional to 9,884.69, 13,640.64 and 5,408.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,884.69 : 13,640.64 = 5,408.39 : x
2. Step 2: Convert to fraction form
   9,884.69/13,640.64 = 5,408.39/x
3. Step 3: Cross multiply
   9,884.69x = 13,640.64 × 5,408.39
4. Step 4: Simplify right side
   9,884.69x = 73,773,832.77
5. Step 5: Solve for x
   x = 73,773,832.77/9,884.69
6. Step 6: Final answer
   x = 7,463.45